State Estimation Method for Composite Sandwich System with Dead Zone and Hysteresis Based on Nonsmooth Observer

Abstract

The invention discloses a non-smooth observer-based method for estimating the state of a compound sandwich system with dead zone and hysteresis. Firstly, the principle of separation of key items and switching functions are used to learn from the established dead zone and gap. and the non-smooth state-space equation of the sandwich system with hysteresis, and construct the non-smooth state-space equation that can accurately describe the composite sandwich system containing dead zone and hysteresis; secondly, according to the constructed composite non-smooth sandwich state-space equation, when the system satisfies the existence of the observer When the non-smooth condition is met, a non-smooth state estimation observer that can automatically switch with the change of the working range of the compound non-smooth sandwich system is constructed. The advantages of this method are: by introducing a switching function to describe this type of system more accurately; the disclosed compound non-smooth observer can automatically switch with the switching of the system working range; compared with the traditional observer, the observer using this method can Estimate the state value of the system more accurately.

Description

State Estimation Method for Composite Sandwich System with Dead Zone and Hysteresis Based on Nonsmooth Observer technical field The invention belongs to the field of state estimation of nonlinear systems, in particular to a method for state estimation of a composite sandwich system with dead zones and hysteresis based on non-smooth observers. Background technique For any control system, whether it is to realize the closed-loop pole configuration of the system or to realize the decoupling of the system, it is inseparable from the state feedback. At the same time, accurately estimating the state of the system is also an important basis for realizing the optimal control and fault diagnosis of the system. However, not all states of the system are easily detectable directly, and some state variables cannot even be detected at all. Therefore, researchers often solve the above problems by constructing state observers. However, for a specific system, if the observer is not const...

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Problems solved by technology

However, the above state estimation methods are designed for the observer for a specific system. In these methods, it is assumed that the system is completely observable or given only one non-smooth link, and the composite non-smooth sandwich system is incomplete in a certain working range. Observable and has two non-smooth links in series

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